int sum = 0;
		int perfectStart = start;
		int perfectNum = 1;
		while (perfectStart <= end){
			while (perfectNum < perfectStart){
				if ((perfectStart % perfectNum) == 0){
					sum = sum + perfectNum;
					perfectNum++;
				}
				
			}
        
		    if (sum == perfectStart){
					cout << perfectStart << " is a perfect number" << endl;
			}
			perfectStart++;
			perfectNum = 1;
		}
	}

//fragment code
sum=0;
while(perfectstart<=endnumber)
{
  sum=0;
  for(i=1;i<=perfectstart/2;++i)
   {
      if(perfectstart%i==0)
      { sum+=i;}
    }   
      if(sum==perfectstart)cout<<perfectstart<<endl;
    ++perfectstart;
}